What is the 5034th prime number?
The 5034th prime number is 48989. The next prime is 48991 (a gap of 2) and the one before is 48973.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5034th one is 48989.
- 2
48989 is prime because no prime up to ā48989 ā 221.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5034th prime is close to 5034 Ć ln(5034) ā 42910, and here it is 48989.
- 4
48989 is a twin prime: 48989 and 48991 are both prime.
Primes around the 5034th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5031 | 48947 | 40 |
| 5032 | 48953 | 6 |
| 5033 | 48973 | 20 |
| 5034 | 48989 | 16 |
| 5035 | 48991 | 2 |
| 5036 | 49003 | 12 |
| 5037 | 49009 | 6 |
Questions
What is the 5034th prime number?
48989.
Which prime number is 48989?
48989 is the 5034th prime number.
What is the sum of the first 5034 primes?
116,114,247.